Abstract
In this paper, we consider the hyponormality of Toeplitz operators acting on the weighted Bergman space A_{alpha }^2({mathbb{D}}). We establish necessary or sufficient conditions for the hyponormality of Toeplitz operators with non-harmonic symbols varphi (z) that are bivariate polynomials in z and {overline{z}} (i.e., varphi (z)=az^m{overline{z}}^n+bz^s{overline{z}}^t). In particular, we present some characteristics according to the coefficients and degree of varphi (z).
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